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Finding the Third Proportional to 39,277,475,040 and 86,159,271,528

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Solution

The third proportional to 39,277,475,040 and 86,159,271,528 is: 188,999,421,746.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,277,475,040 : 86,159,271,528 = 86,159,271,528 : x
  2. Step 2: Convert to fraction form
    39,277,475,040/86,159,271,528 = 86,159,271,528/x
  3. Step 3: Cross multiply
    39,277,475,040x = 86,159,271,528 × 86,159,271,528
  4. Step 4: Simplify right side
    39,277,475,040x = 7,423,420,070,235,631,255,552
  5. Step 5: Solve for x
    x = 7,423,420,070,235,631,255,552/39,277,475,040
  6. Step 6: Final answer
    x = 188,999,421,746.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.